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F-test Calculator

Statistics
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Performs an F-test to compare the variances of two populations.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Variance of Sample 1, Size of Sample 1, Variance of Sample 2, Size of Sample 2, and Significance Level (alpha) in the units shown.

Step 2

Read Degrees of Freedom 2 (df2), Degrees of Freedom 1 (df1), F-Statistic, P-value (Approximation), Critical Value (Two-Tailed), and Result in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Variance of Sample 1: 10; Size of Sample 1: 20; Variance of Sample 2: 5; Size of Sample 2: 25; Significance Level (alpha): 0.05

Degrees of Freedom 2 (df2): 24; Degrees of Freedom 1 (df1): 19; F-Statistic: 2; P-value (Approximation): 1.220930233; Critical Value (Two-Tailed): 2; Result: Fail to Reject Null Hypothesis

Example 2

Variance of Sample 1: 25; Size of Sample 1: 30; Variance of Sample 2: 10; Size of Sample 2: 35; Significance Level (alpha): 0.05

Degrees of Freedom 2 (df2): 34; Degrees of Freedom 1 (df1): 29; F-Statistic: 2.5; P-value (Approximation): 1.276190476; Critical Value (Two-Tailed): 2.5; Result: Fail to Reject Null Hypothesis

Example 3

Variance of Sample 1: 8; Size of Sample 1: 15; Variance of Sample 2: 12; Size of Sample 2: 20; Significance Level (alpha): 0.05

Degrees of Freedom 2 (df2): 19; Degrees of Freedom 1 (df1): 14; F-Statistic: 0.6666666667; P-value (Approximation): 1.212121212; Critical Value (Two-Tailed): 1.5; Result: Fail to Reject Null Hypothesis

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